Hip-hop solutions of the 2N-body problem

被引：15

作者：

Barrabes, Esther ^{[1
]}

Cors, Josep Maria

Pinyol, Conxita

Soler, Jaume

机构：

[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 3, Barcelona, Spain

[3] Univ Autonoma Barcelona, Dept Econ & Hist Econ, E-08193 Barcelona, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2006年 / 95卷 / 1-4期

关键词：

N-body problem; analytic continuation; hip-hop; choreographies;

D O I：

10.1007/s10569-006-9016-y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Hip-hop solutions of the 2N-body problem with equal masses are shown to exist using an analytic continuation argument. These solutions are close to planar regular 2N-gon relative equilibria with small vertical oscillations. For fixed N, an infinity of these solutions are three-dimensional choreographies, with all the bodies moving along the same closed curve in the inertial frame.

引用

页码：55 / 66

页数：12

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